Steam enters a turbine operating at steady state at 2 MPa, 360 C with a velocity of 100 m/s. Saturated vapor exits at 0.1 MPa and a velocity of 50 m/s. The elevation of the inlet is 3 m higher than at the exit. The mass flow rate of the steam is 15 kg/s, and the power developed is 7 MW. Let g = 9.81 m/s^2.

Determine:

a) The area at the inlet [m^2]

b) the rate of heat transfer between the turbine and its surroundings [kW].

c) Plot the process on a T-v state diagram.